

A034887


Number of digits in 2^n.


14



1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 12, 12, 12, 13, 13, 13, 13, 14, 14, 14, 15, 15, 15, 16, 16, 16, 16, 17, 17, 17, 18, 18, 18, 19, 19, 19, 19, 20, 20, 20, 21, 21, 21, 22, 22, 22
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OFFSET

0,5


LINKS

T. D. Noe, Table of n, a(n) for n = 0..10000
Eric Weisstein's World of Mathematics, Mersenne Number


FORMULA

a(n) = floor(n*ln(2)/ln(10)) + 1. E.g. a(10)=4 because 2^10=1024 and floor(10*ln(2)/ln(10)+1=3+1=4  Jaap Spies, Dec 11 2003


MAPLE

seq(floor(n*ln(2)/ln(10))+1, n=0..100); (from J. Spies)


MATHEMATICA

Table[Length[IntegerDigits[2^n]], {n, 0, 100}] (* T. D. Noe, Feb 11 2013 *)


CROSSREFS

Cf. A055253, A055254.
Sequence in context: A222642 A081832 * A192543 A082964 A209356 A099741
Adjacent sequences: A034884 A034885 A034886 * A034888 A034889 A034890


KEYWORD

nonn,base,easy


AUTHOR

N. J. A. Sloane.


STATUS

approved



